Which transformations of the graph of f (x) = - 4x result in the graph of f (x) = 4x + 3?

1. reflection over the x-axis and shifted 3 units to the left

2. reflection over the y-axis and shifted 3 units to the right

3. reflection over the y-axis and shifted 3 units to the left

4. reflection over the x-axis and shifted 3 units to the right

Question

Mathematics

Javier Romero

Today, 11:37

Which transformations of the graph of f (x) = - 4x result in the graph of f (x) = 4x + 3?

1. reflection over the x-axis and shifted 3 units to the left

2. reflection over the y-axis and shifted 3 units to the right

3. reflection over the y-axis and shifted 3 units to the left

4. reflection over the x-axis and shifted 3 units to the right

+5

Answers (1)

Know the Answer?

Dillan Winters · Answer 1

Option 1

Step-by-step explanation:

If you flip the sign on the coefficient on x, then it will be a reflection over the x-axis. The + 3 is a trick. Make sure you don't forget that you flip the sign to see the direction you are moving the graph horizontally. In this case, it would be moving to the left, so your 1st option is correct.